Emergence of criticality in different topologies of networks of map-based neurons
KTz model is a three-dimensional map representing the action potential, a recovery and a slow variable, and exhibits the usual excitable cells behaviors (fast and regular spiking, bursting, etc). When we connect KTz’s units in different topologies with a probabilistic two-dimensional Chemical Synaps...
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| Language: | Portuguese |
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Universidade Estadual de Campinas
2020
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| Online Access: | https://econtents.sbu.unicamp.br/eventos/index.php/phyproceedings/article/view/3239 |
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| author | Schappo , Maurício Girardi |
| author_facet | Schappo , Maurício Girardi |
| author_sort | Schappo , Maurício Girardi |
| collection | Portal de Eventos Científicos da UNICAMP |
| container_reference | Physicae Proceedings; Vol. 1 No. 1 (2012): Proceedings XI Young Researchers Meeting ; 1-1 |
| description | KTz model is a three-dimensional map representing the action potential, a recovery and a slow variable, and exhibits the usual excitable cells behaviors (fast and regular spiking, bursting, etc). When we connect KTz’s units in different topologies with a probabilistic two-dimensional Chemical Synapse Map (CSM) we obtain spike avalanches, which is a number of connected neurons spiking one after another. The critical systems show a power law distribution of avalanches, and this is also a signature of Self-Organized Criticality (SOC). In vitro systems have shown neuronal avalanches. Comparisons between LFP recordings in monkeys performing a short term memory task and three subsampled SOC models are available in the literature, as well as in vivo data from rats and a cellular automaton model. These results are promising, and show close connection between critical models and neuronal activity. We simulate KTz neurons connected through CSM on different types of networks (square, scale-free, small world) and our preliminary results show criticality in the square lattice. Random topologies are under check, and they may be of close interest of the medical community, since they can be related to the development of some neural diseases. |
| first_indexed | 2025-10-08T13:49:16Z |
| format | Online |
| id | ojs-article-3239 |
| institution | Universidade Estadual de Campinas |
| issn | 2236-7535 |
| language | por |
| last_indexed | 2025-10-08T13:49:16Z |
| publishDate | 2020 |
| publisher | Universidade Estadual de Campinas |
| record_format | ojs |
| spelling | ojs-article-32392020-05-15T15:30:07Z Emergence of criticality in different topologies of networks of map-based neurons Schappo , Maurício Girardi Three-dimensional map KTz model KTz model is a three-dimensional map representing the action potential, a recovery and a slow variable, and exhibits the usual excitable cells behaviors (fast and regular spiking, bursting, etc). When we connect KTz’s units in different topologies with a probabilistic two-dimensional Chemical Synapse Map (CSM) we obtain spike avalanches, which is a number of connected neurons spiking one after another. The critical systems show a power law distribution of avalanches, and this is also a signature of Self-Organized Criticality (SOC). In vitro systems have shown neuronal avalanches. Comparisons between LFP recordings in monkeys performing a short term memory task and three subsampled SOC models are available in the literature, as well as in vivo data from rats and a cellular automaton model. These results are promising, and show close connection between critical models and neuronal activity. We simulate KTz neurons connected through CSM on different types of networks (square, scale-free, small world) and our preliminary results show criticality in the square lattice. Random topologies are under check, and they may be of close interest of the medical community, since they can be related to the development of some neural diseases. Universidade Estadual de Campinas 2020-05-15 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://econtents.sbu.unicamp.br/eventos/index.php/phyproceedings/article/view/3239 Physicae Proceedings; Vol. 1 No. 1 (2012): Proceedings XI Young Researchers Meeting ; 1-1 Physicae Proceedings; v. 1 n. 1 (2012): Proceedings XI Young Researchers Meeting ; 1-1 2236-7535 por https://econtents.sbu.unicamp.br/eventos/index.php/phyproceedings/article/view/3239/3177 Copyright (c) 2012 Physicae |
| spellingShingle | Schappo , Maurício Girardi Three-dimensional map KTz model Emergence of criticality in different topologies of networks of map-based neurons |
| title | Emergence of criticality in different topologies of networks of map-based neurons |
| title_full | Emergence of criticality in different topologies of networks of map-based neurons |
| title_fullStr | Emergence of criticality in different topologies of networks of map-based neurons |
| title_full_unstemmed | Emergence of criticality in different topologies of networks of map-based neurons |
| title_short | Emergence of criticality in different topologies of networks of map-based neurons |
| title_sort | emergence of criticality in different topologies of networks of map-based neurons |
| topic | Three-dimensional map KTz model |
| url | https://econtents.sbu.unicamp.br/eventos/index.php/phyproceedings/article/view/3239 |
| work_keys_str_mv | AT schappomauriciogirardi emergenceofcriticalityindifferenttopologiesofnetworksofmapbasedneurons |
